What is the GCF of 108 and 144

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What is the Greatest common Divisor of 108 and 144?

Answer: GCF of 108 and 144 is 36

(Thirty-six)

Finding GCF for 108 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 144 is to list all factors for both numbers and pick the highest common one:

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 108 and 144 is 36

Finding GCF for 108 and 144 by Prime Factorization

The second method to find GCF for numbers 108 and 144 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 108: 2, 2, 3, 3, 3

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 108 and 144? (The answer is: 36). Select the first number (e.g. '108') and the second number (e.g. '144'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

"Greatest Common Factor" Calculator

GCF Table

Number 1	Number 2	GCF
93	144	3
94	144	2
95	144	1
96	144	48
97	144	1
98	144	2
99	144	9
100	144	4
101	144	1
102	144	6
103	144	1
104	144	8
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2

GCF for 108 and 144

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 108 and 144?

Finding GCF for 108 and 144 using all factors (divisors) listing

Finding GCF for 108 and 144 by Prime Factorization

See Also

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest common Divisor of 108 and 144?

See Also

Number 1	Number 2	GCF
93	144	3
94	144	2
95	144	1
96	144	48
97	144	1
98	144	2
99	144	9
100	144	4
101	144	1
102	144	6
103	144	1
104	144	8
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2

Number 1	Number 2	GCF
93	144	3
94	144	2
95	144	1
96	144	48
97	144	1
98	144	2
99	144	9
100	144	4
101	144	1
102	144	6
103	144	1
104	144	8
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2

Number 1	Number 2	GCF
93	144	3
94	144	2
95	144	1
96	144	48
97	144	1
98	144	2
99	144	9
100	144	4
101	144	1
102	144	6
103	144	1
104	144	8
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2